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What should be added to $ -\frac{5}{8} $ so at to get $ \frac{5}{9} ? $
Given :
The given numbers are $\frac{-5}{8}$ and $\frac{5}{9}$.
To do :
We have to find the number that should be added to $\frac{-5}{8}$ to get $\frac{5}{9}$.
Solution :
Let the number to be added to $\frac{-5}{8}$ to get $\frac{5}{9}$ be $x$.
This implies,
$\frac{-5}{8}+x=\frac{5}{9}$
$x =\frac{5}{9} - (\frac{-5}{8})$
$x =\frac{5}{9} + \frac{5}{8}$
$x = \frac{[5(8)+5(9)]}{72}$
$x = \frac{(40+45)}{72}$
$x = \frac{85}{72}$.
The number to be added to $\frac{-5}{8}$ to get $\frac{5}{9}$ is $\frac{85}{72}$.
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